| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.90 |
| Score | 0% | 58% |
What is -4b5 - 4b5?
| 8b-5 | |
| -8b5 | |
| 10 | |
| 8b5 |
To add or subtract terms with exponents, both the base and the exponent must be the same. In this case they are so subtract the coefficients and retain the base and exponent:
-4b5 - 4b5
(-4 - 4)b5
-8b5
What is \( 9 \)\( \sqrt{28} \) - \( 9 \)\( \sqrt{7} \)
| 81\( \sqrt{7} \) | |
| 0\( \sqrt{28} \) | |
| 9\( \sqrt{7} \) | |
| 0\( \sqrt{196} \) |
To subtract these radicals together their radicands must be the same:
9\( \sqrt{28} \) - 9\( \sqrt{7} \)
9\( \sqrt{4 \times 7} \) - 9\( \sqrt{7} \)
9\( \sqrt{2^2 \times 7} \) - 9\( \sqrt{7} \)
(9)(2)\( \sqrt{7} \) - 9\( \sqrt{7} \)
18\( \sqrt{7} \) - 9\( \sqrt{7} \)
Now that the radicands are identical, you can subtract them:
18\( \sqrt{7} \) - 9\( \sqrt{7} \)If a mayor is elected with 65% of the votes cast and 72% of a town's 50,000 voters cast a vote, how many votes did the mayor receive?
| 27,000 | |
| 21,960 | |
| 23,400 | |
| 24,840 |
If 72% of the town's 50,000 voters cast ballots the number of votes cast is:
(\( \frac{72}{100} \)) x 50,000 = \( \frac{3,600,000}{100} \) = 36,000
The mayor got 65% of the votes cast which is:
(\( \frac{65}{100} \)) x 36,000 = \( \frac{2,340,000}{100} \) = 23,400 votes.
A tiger in a zoo has consumed 50 pounds of food in 5 days. If the tiger continues to eat at the same rate, in how many more days will its total food consumtion be 100 pounds?
| 7 | |
| 8 | |
| 77 | |
| 5 |
If the tiger has consumed 50 pounds of food in 5 days that's \( \frac{50}{5} \) = 10 pounds of food per day. The tiger needs to consume 100 - 50 = 50 more pounds of food to reach 100 pounds total. At 10 pounds of food per day that's \( \frac{50}{10} \) = 5 more days.
Find the average of the following numbers: 12, 10, 13, 9.
| 8 | |
| 12 | |
| 11 | |
| 6 |
To find the average of these 4 numbers add them together then divide by 4:
\( \frac{12 + 10 + 13 + 9}{4} \) = \( \frac{44}{4} \) = 11